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Operation Counts for the Level 2 BLAS

The four parameters used in counting operations for the Level 2 BLAS are the matrix dimensions 3#3 and 4#4 and the upper and lower bandwidths 588#588 and 589#589 for the band routines (198#198 if symmetric or triangular). An exact count also depends slightly on the values of the scaling factors 590#590 and 591#591, since some common special cases (such as 592#592 and 593#593) can be treated separately.

The count for SGBMV from the Level 2 BLAS is as follows:

 SGBMV multiplications: 594#594
   additions: 594#594
   total flops: 595#595
plus 3#3 multiplies if 596#596 and another 3#3 multiplies if 597#597 or 53#53. The other Level 2 BLAS operation counts are shown in Table 1.



Susan Blackford 2001-08-13